An Introduction to Nonlinear Analysis: Theory

By Z. Denkowski, Stanislaw Migrski, Nikolaos S. Papageorgiou. 2013

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Numerical analysis of stationary variational-hemivariational inequalities with applications in contact mechanics (2018, background): “Details on properties of convex functions can be found in the work by Ekeland and Temam [15], whereas that of the subdifferential in the Clarke sense can be found in books [4, 6, 16, 17].”
Optimal Control of Generalized Quasi-Variational Hemivariational Inequalities and Its Applications (2015, background): “Now, let us recall the notations about the Clarke’s generalized directional derivative and generalized gradient for a locally Lipschitz function j : E → R (one can see [3,4]).”
A class of fractional differential hemivariational inequalities with application to contact problem (2018, methodology): “To provide readers with better convenience, we now introduce the standard notation following [11, 12,52].”
Analysis of a general dynamic history-dependent variational–hemivariational inequality (2017, methodology): “Hence Taking into account hypothesis H ( ϕ )(3), we know that ∂ϕ ( t, y, · ) is maximal monotone for all y ∈ Y , a.e. t ∈ (0 , T ) [19, Theorem 6.3.19].”